Pith Number

pith:W46INDZJ

pith:2016:W46INDZJQGONWXMK6YKXNCHY3B

not attested not anchored not stored refs pending

Linearity defect of the residue field of short local rings

Rasoul Ahangari Maleki

arxiv:1610.00525 v1 · 2016-10-03 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W46INDZJQGONWXMK6YKXNCHY3B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:03:25.318476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73c868f29819cdb5d8af6157688f8d87ceaca8e3c71eaca752b518636487c69

Aliases

arxiv: 1610.00525 · arxiv_version: 1610.00525v1 · doi: 10.48550/arxiv.1610.00525 · pith_short_12: W46INDZJQGON · pith_short_16: W46INDZJQGONWXMK · pith_short_8: W46INDZJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W46INDZJQGONWXMK6YKXNCHY3B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b73c868f29819cdb5d8af6157688f8d87ceaca8e3c71eaca752b518636487c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e1633cc869213a9afa9487bcc7ee2fcc3c6b0f868fee5d0ea1945367c29082",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-03T12:58:13Z",
    "title_canon_sha256": "a9b0bc308a82b5afc2446ec0d223cd3a4be962a369bba783b91815ae1c82703d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00525",
    "kind": "arxiv",
    "version": 1
  }
}